小波的幾個術語及常見的小波基介紹(編輯修改稿)
2025-07-26 01:29 本頁面
【文章內(nèi)容簡介】 10 2 5 3 9 3 13 3 17 3 4 4 8 4 12 4 16 4 20 4 bior 9 7 9 11 17 11Regularity for psirec. Nr1 and Nr2 at theknotsSymmetry yes Numberof vanishingmoments for psi dec. NrRemark: bior , and are such that reconstruction anddeposition functions and filters are close in value.ReverseBior小波 由Biorthogonal而來，因此兩者形式很類似。 在Matlab中輸入命令waveinfo(39。bior39。)可得到如下信息：General characteristics: Compactly supportedbiorthogonal spline wavelets for whichsymmetry and exact reconstruction are possible withFIR filters (in orthogonal case it isimpossible except for Haar).FamilyBiorthogonal Shortname rbio OrderNd,Nr Nd = 1 , Nr = 1, 3, 5 r forreconstruction Nd = 2 , Nr = 2, 4, 6,8 d fordeposition Nd = 3 , Nr = 1, 3, 5,7, 9 Nd = 4 , Nr = 4 Nd = 5 , Nr = 5 Nd = 6 , Nr = 8Examples ,Orthogonal noBiorthogonal yesCompact support yesDWT possible CWT possibleSupport width 2Nd+1 forrec., 2Nr+1 for dec.Filters lengthmax(2Nd,2Nr)+2 but essentially lr ld effective length effective length of Hi_D of Lo_D 2 2 6 2 10 2 5 3 9 3 13 3 17 3 41
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